1789edo: Difference between revisions
defined the comma basis for french decimal |
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On the patent val in the 7-limit, 1789edo supports 99 & 373 temperament called maviloid. In addition, it also tempers out [[2401/2400]]. | On the patent val in the 7-limit, 1789edo supports 99 & 373 temperament called maviloid. In addition, it also tempers out [[2401/2400]]. | ||
Since it has a very precise 31/29, it supports tricesimoprimal miracloid - a version of secor with 31/29 as the generator and a flat, meantone-esque fifth of about 692.23 cents. Using the maximal evenness method, we find a 52 & 1789 temperament. | Since it has a very precise 31/29, it supports tricesimoprimal miracloid - a version of secor with 31/29 as the generator and a flat, meantone-esque fifth of about 692.23 cents. Using the maximal evenness method, we find a 52 & 1789 temperament. Best subgroup for it is 2.5.7.11.19.29.31, since both 52edo and 1789edo support it well, and the comma basis is 10241/10240, 5858783/5856400, 4093705/4090624, 15109493/15089800, 102942875/102834688. | ||
1789edo supports the 2.9.5.11.13 subgroup temperament which Eliora proposes be called ''commatose'', and which uses the Pythagorean comma as a generator. It is defined as a 460 & 1789 temperament, and its comma basis is 62748517/62726400, 479773125/479756288, and 30530193408/30517578125. | 1789edo supports the 2.9.5.11.13 subgroup temperament which Eliora proposes be called ''commatose'', and which uses the Pythagorean comma as a generator. It is defined as a 460 & 1789 temperament, and its comma basis is 62748517/62726400, 479773125/479756288, and 30530193408/30517578125. | ||
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| 115.37 | | 115.37 | ||
| 31/29 | | 31/29 | ||
| Tricesimoprimal miracloid | | Tricesimoprimal miracloid | ||
|- | |- | ||
| 576\1789 | | 576\1789 | ||